28=(3x+2)(x-5)

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Solution for 28=(3x+2)(x-5) equation: 


Simplifying
28 = (3x + 2)(x + -5)

Reorder the terms:
28 = (2 + 3x)(x + -5)

Reorder the terms:
28 = (2 + 3x)(-5 + x)

Multiply (2 + 3x) * (-5 + x)
28 = (2(-5 + x) + 3x * (-5 + x))
28 = ((-5 * 2 + x * 2) + 3x * (-5 + x))
28 = ((-10 + 2x) + 3x * (-5 + x))
28 = (-10 + 2x + (-5 * 3x + x * 3x))
28 = (-10 + 2x + (-15x + 3x2))

Combine like terms: 2x + -15x = -13x
28 = (-10 + -13x + 3x2)

Solving
28 = -10 + -13x + 3x2

Solving for variable 'x'.

Combine like terms: 28 + 10 = 38
38 + 13x + -3x2 = -10 + -13x + 3x2 + 10 + 13x + -3x2

Reorder the terms:
38 + 13x + -3x2 = -10 + 10 + -13x + 13x + 3x2 + -3x2

Combine like terms: -10 + 10 = 0
38 + 13x + -3x2 = 0 + -13x + 13x + 3x2 + -3x2
38 + 13x + -3x2 = -13x + 13x + 3x2 + -3x2

Combine like terms: -13x + 13x = 0
38 + 13x + -3x2 = 0 + 3x2 + -3x2
38 + 13x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
38 + 13x + -3x2 = 0

Factor a trinomial.
(19 + -3x)(2 + x) = 0


Subproblem 1
Set the factor '(19 + -3x)' equal to zero and attempt to solve:

Simplifying
19 + -3x = 0

Solving
19 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-19' to each side of the equation.
19 + -19 + -3x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -3x = 0 + -19
-3x = 0 + -19

Combine like terms: 0 + -19 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {6.333333333, -2}

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